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Finding the Fourth Proportional to 1,284.75, 1,927.94 and 515.25

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Solution

The fourth proportional to 1,284.75, 1,927.94 and 515.25 is: 773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.75 : 1,927.94 = 515.25 : x
  2. Step 2: Convert to fraction form
    1,284.75/1,927.94 = 515.25/x
  3. Step 3: Cross multiply
    1,284.75x = 1,927.94 × 515.25
  4. Step 4: Simplify right side
    1,284.75x = 993,368.51
  5. Step 5: Solve for x
    x = 993,368.51/1,284.75
  6. Step 6: Final answer
    x = 773.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.